What is the Pythagorean Theorem?
Pythagorean Theorem

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².
2.
FLASHCARD QUESTION
Front
What type of triangle does the Pythagorean Theorem apply to?
Back
The Pythagorean Theorem ONLY works on right triangles.
3.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 12 and the other leg is 9, what is the length of the hypotenuse?
Back
The hypotenuse is 15, calculated using the Pythagorean Theorem: c² = 12² + 9² = 144 + 81 = 225, thus c = √225 = 15.
4.
FLASHCARD QUESTION
Front
What is the longest side of a right triangle called?
Back
The longest side of a right triangle is called the hypotenuse.
5.
FLASHCARD QUESTION
Front
Can the lengths 8, 15, and 17 form a right triangle?
Back
Yes, they can form a right triangle because 8² + 15² = 64 + 225 = 289 = 17².
6.
FLASHCARD QUESTION
Front
If the hypotenuse of a right triangle is 50 and one leg is 30, what is the length of the other leg?
Back
The length of the other leg is 40, calculated using the Pythagorean Theorem: 50² = 30² + b², thus 2500 = 900 + b², so b² = 1600, and b = √1600 = 40.
7.
FLASHCARD QUESTION
Front
What is the formula to find the hypotenuse in a right triangle?
Back
The formula to find the hypotenuse (c) is c = √(a² + b²).
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